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5131035 = 3257213179
BaseRepresentation
bin10011100100101100011011
3100122200110100
4103210230123
52303143120
6301550443
761420200
oct23445433
910580410
105131035
112995028
121875423
1310a8620
14977ca7
156b5490
hex4e4b1b

5131035 has 72 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 2153088.

The previous prime is 5131019. The next prime is 5131039. The reversal of 5131035 is 5301315.

It is a happy number.

5131035 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5131035 - 24 = 5131019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5130999 and 5131017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131039) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28576 + ... + 28754.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 25131035 is an apocalyptic number.

5131035 is an abundant number, since it is smaller than the sum of its proper divisors (6072885).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5131035 is a wasteful number, since it uses less digits than its factorization.

5131035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 5131035 is about 2265.1788008897. The cubic root of 5131035 is about 172.4785102404.

The spelling of 5131035 in words is "five million, one hundred thirty-one thousand, thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 179 195 245 273 315 441 455 537 585 637 735 819 895 1253 1365 1611 1911 2205 2327 2685 3185 3759 4095 5733 6265 6981 8055 8771 9555 11277 11635 16289 18795 20943 26313 28665 34905 43855 48867 56385 78939 81445 104715 114023 131565 146601 244335 342069 394695 570115 733005 1026207 1710345 5131035